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4060760928 = 253723127847
BaseRepresentation
bin1111001000001010…
…0100101101100000
3101111000001000202220
43302002210231200
531304023322203
61510540111040
7202425620100
oct36202445540
911430030686
104060760928
1117a4214874
12953b35480
134c93a6b23
142a744d200
1518b778653
hexf20a4b60

4060760928 has 144 divisors (see below), whose sum is σ = 12800277504. Its totient is φ = 1122750720.

The previous prime is 4060760917. The next prime is 4060760941. The reversal of 4060760928 is 8290670604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4060760928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131901 + ... + 159747.

It is an arithmetic number, because the mean of its divisors is an integer number (88890816).

Almost surely, 24060760928 is an apocalyptic number.

4060760928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4060760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400138752).

4060760928 is an abundant number, since it is smaller than the sum of its proper divisors (8739516576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4060760928 is a wasteful number, since it uses less digits than its factorization.

4060760928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27905 (or 27890 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4060760928 is about 63724.1000564151. The cubic root of 4060760928 is about 1595.3983574076.

The spelling of 4060760928 in words is "four billion, sixty million, seven hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 27847 36456 48608 55694 72912 83541 111388 145824 167082 194929 222776 334164 389858 445552 584787 668328 779716 863257 891104 1169574 1336656 1364503 1559432 1726514 2339148 2589771 2673312 2729006 3118864 3453028 4093509 4678296 5179542 5458012 6042799 6237728 6906056 8187018 9356592 10359084 10916024 12085598 13812112 16374036 18128397 18713184 20718168 21832048 24171196 27624224 32748072 36256794 41436336 42299593 43664096 48342392 65496144 72513588 82872672 84599186 96684784 126898779 130992288 145027176 169198372 193369568 253797558 290054352 338396744 507595116 580108704 676793488 1015190232 1353586976 2030380464 4060760928